The best way, currently, to differentiate from a player with variety and a player with great court sense is the following comparison: Hingis has amazing court sense, Hantuchova has great variety.
Here's where it's tricky: Hingis knows that she can hit about three or four different shots on every stroke. But rather than over-thinking and wasting time, she goes for the one that makes the most sense and seems the most natural. This is, 98% of the time, the ideal shot for the rally, simply because she has great court sense.
Hantuchova also has a variety of shots she could hit at any given time. However, she doesn't always know which one to use, and sometimes uses them inappropriately. She goes for dropshots at silly moments, she hits bizarre volleys at bizarre times. It's just not as natural looking as Hingis. It seems that Hingis just knows how and where to hit the ball, and Hantuchova just knows how.